Question

writing equations
how many 14 - gauge wire circuits might you need to safely have the following items in a kitchen a cappuccino maker, a microwave, a toaster and a refrigerator? (remember what the word safely means.)
14 - gauge wire has an amp rating of 15a. standard vol house is 120 volts
which of the following equations could be used to approximate the number of circuits needed in the kitchen given the following variables?
n = number of circuits
c = wattage of capp. maker
m = wattage of microwave
t = wattage of toaster oven
r = wattage of refrigerator
w = wattage
a = ampere of a 14 - gauge
v = voltage of a standard home

Explanation:

Step1: Recall power formula

Power \(W = A\times V\). But for safety, we use 80% of the circuit's capacity. So available power per circuit is \(A\times V\times0.80\).

Step2: Calculate total power

Total power of all items is \(C + M+T + R\).

Step3: Find number of circuits

Number of circuits \(N=\frac{\text{Total power}}{\text{Available power per circuit}}=\frac{C + M+T + R}{A\times V\times0.80}\)

Answer:

\(N=(C + M+T + R)/(A\times V\times0.80)\) (the third option)